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Finding the Third Proportional to 260,301.09 and 570,457.69

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Solution

The third proportional to 260,301.09 and 570,457.69 is: 1,250,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,301.09 : 570,457.69 = 570,457.69 : x
  2. Step 2: Convert to fraction form
    260,301.09/570,457.69 = 570,457.69/x
  3. Step 3: Cross multiply
    260,301.09x = 570,457.69 × 570,457.69
  4. Step 4: Simplify right side
    260,301.09x = 325,421,973,227.85
  5. Step 5: Solve for x
    x = 325,421,973,227.85/260,301.09
  6. Step 6: Final answer
    x = 1,250,175.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.